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import sys |
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import unittest |
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import os |
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|
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from esys.escript import * |
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from esys import bruce |
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|
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import numarray |
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|
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""" |
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|
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Test binary operations. |
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|
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Version $Id$ |
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|
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""" |
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|
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from numarray import array,Float64,ones,greater |
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|
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Tag1=10 |
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Tag2=11 |
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|
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tol=1.E-15 |
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|
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# |
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# list of arguments: a list item has the form [a0,a1,a2] |
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# what a0 is the default value and a1 is used for tag Tag1 |
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# and a2 for tag2. a0,a1,a2 are converted into numarrays. |
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# |
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# binary operations are tested on all pairs from arglist |
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# |
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# each item in the arglist are used to construct the following 5 argument |
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# types arg for arithmetic operations: |
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# |
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# 1) arg is a numarray/list a0 |
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# 2) arg is a Data with default value a0 |
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# 3) arg is an DataArray with constant value a0 |
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# 4) arg is a Data object with constant value a0 and value a1 for tag Tag1 |
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# 5) arg is a Data object with constant value a0 and value a1 for tag Tag1 |
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# and value a2 for Tag2. |
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# |
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# i.e for a single binary arithmetic operation (len(arglist)*5)**2 |
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# test are performed. |
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# |
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|
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arglist = [ \ |
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[ [3,4], [-5,6.], [2,3] ], \ |
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[ [[1,2],[3,4]], [[5,6],[7,8]], [[-5,-6],[7,8]] ], \ |
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[ [[15,8],[12,8]], [[-9,9],[13,8]], [[7,34],[19,7]] ], \ |
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[ [[[15,8],[12,8]],[[-9,9],[13,8]]], [[[3,4],[-9,4]],[[1,-9],[7,4]]], [[[5,2],[6,2]],[[-6,4],[7,5]]] ], \ |
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[ 3.0, 6.0, 3 ] \ |
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] |
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|
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# these are used to test slicing: |
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a_r1=[ [1,2,3], [-1,-2,-3], [100,200,300] ] |
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a_r1_in=[ [1./1,2,3], [-1./1,-1./2,-1./3], [1./100,1./200,1./300] ] |
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a_r4=[ \ |
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[ [ [[ 1,2,3],[11,12,13]], [[21,22,23],[31,32,33]], [[41,42,43],[51,52,53]] ], [ [[101,102,103],[111,112,113]], [[121,122,123],[131,132,133]], [[141,142,143],[151,152,153]] ], [ [[201,202,203],[211,212,213]], [[221,222,223],[231,232,233]], [[241,242,243],[251,252,253]] ] ], \ |
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[ [ [[ -1,-2,-3],[-11,-12,-13]], [[-21,-22,-23],[-31,-32,-33]], [[-41,-42,-43],[-51,-52,-53]] ], [ [[-101,-102,-103],[-111,-112,-113]], [[-121,-122,-123],[-131,-132,-133]], [[-141,-142,-143],[-151,-152,-153]] ], [ [[-201,-202,-203],[-211,-212,-213]], [[-221,-222,-223],[-231,-232,-233]], [[-241,-242,-243],[-251,-252,-253]] ] ], \ |
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[ [[[ 11,12,13],[111,112,113]], [[121,122,123],[131,132,133]], [[141,142,143],[151,152,153]] ], [ [[1101,1102,1103],[1111,1112,1113]], [[1121,1122,1123],[1131,1132,1133]], [[1141,1142,1143],[1151,1152,1153]] ], [ [[1201,1202,1203],[1211,1212,1213]], [[1221,1222,1223],[1231,1232,1233]], [[1241,1242,1243],[1251,1252,1253]] ] ] ] |
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a_r4_in=[ \ |
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[ [ [[ 1./1,1./2,1./3],[1./11,1./12,1./13]], [[1./21,1./22,1./23],[1./31,1./32,1./33]], [[1./41,1./42,1./43],[1./51,1./52,1./53]] ], [ [[1./101,1./102,1./103],[1./111,1./112,1./113]], [[1./121,1./122,1./123],[1./131,1./132,1./133]], [[1./141,1./142,1./143],[1./151,1./152,1./153]] ], [ [[1./201,1./202,1./203],[1./211,1./212,1./213]], [[1./221,1./222,1./223],[1./231,1./232,1./233]], [[1./241,1./242,1./243],[1./251,1./252,1./253]] ] ], \ |
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[ [ [[ -1./1,-1./2,-1./3],[-1./11,-1./12,-1./13]], [[-1./21,-1./22,-1./23],[-1./31,-1./32,-1./33]], [[-1./41,-1./42,-1./43],[-1./51,-1./52,-1./53]] ], [ [[-1./101,-1./102,-1./103],[-1./111,-1./112,-1./113]], [[-1./121,-1./122,-1./123],[-1./131,-1./132,-1./133]], [[-1./141,-1./142,-1./143],[1./-151,-1./152,-1./153]] ], [ [[-1./201,-1./202,-1./203],[-1./211,-1./212,-1./213]], [[-1./221,-1./222,-1./223],[-1./231,-1./232,-1./233]], [[-1./241,-1./242,-1./243],[-1./251,-1./252,-1./253]] ] ], \ |
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[ [[[ 1./11,1./12,1./13],[1./111,1./112,1./113]], [[1./121,1./122,1./123],[1./131,1./132,1./133]], [[1./141,1./142,1./143],[1./151,1./152,1./153]] ], [ [[1./1101,1./1102,1./1103],[1./1111,1./1112,1./1113]], [[1./1121,1./1122,1./1123],[1./1131,1./1132,1./1133]], [[1./1141,1./1142,1./1143],[1./1151,1./1152,1./1153]] ], [ [[1./1201,1./1202,1./1203],[1./1211,1./1212,1./1213]], [[1./1221,1./1222,1./1223],[1./1231,1./1232,1./1233]], [[1./1241,1./1242,1./1243],[1./1251,1./1252,1./1253]] ] ] ] |
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|
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def turnToArray(val,tagged): |
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if tagged=="Tagged1": |
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out=[array(val[0],Float64),array(val[1],Float64),array(val[0],Float64)] |
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elif tagged=="Tagged2": |
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out=[array(val[0],Float64),array(val[1],Float64),array(val[2],Float64)] |
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else: |
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out=[array(val[0],Float64),array(val[0],Float64),array(val[0],Float64)] |
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return out |
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|
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def prepareArg(val,ex,wh): |
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if ex=="Array": |
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out=val[0] |
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else: |
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if ex=="Expanded": |
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exx=True |
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else: |
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exx=False |
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out=Data(val[0],what=wh,expand=exx) |
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if ex=="Tagged1": |
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out.setTaggedValue(Tag1,val[1]) |
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elif ex=="Tagged2": |
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out.setTaggedValue(Tag1,val[1]) |
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out.setTaggedValue(Tag2,val[2]) |
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return out |
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|
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def checkResult(text,res,val0,val1,val2,wh): |
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ref=Data(val0,what=wh,expand=False) |
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ref.setTaggedValue(Tag1,val1) |
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ref.setTaggedValue(Tag2,val2) |
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norm=Lsup(ref)+tol |
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error=Lsup(ref-res)/norm |
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print "@@ %s, shape %s: error = %e"%(text,ref.getShape(),error) |
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if error>tol: |
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print "**** %s : error is too large"%(text) |
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raise SystemError,"@@ %s at %s: error is too large"%(text,wh) |
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sys.exit(1) |
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|
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def getRank(arg): |
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if isinstance(arg,Data): |
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return arg.getRank() |
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else: |
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g=array(arg) |
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if g.rank==0: |
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return 1 |
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else: |
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return g.rank |
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|
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def isScalar(arg): |
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if isinstance(arg,Data): |
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if arg.getRank()==1 and arg.getShape()[0]==1: |
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return not None |
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else: |
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return None |
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else: |
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g=array(arg) |
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if g.rank==0: |
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return not None |
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else: |
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if g.rank==1 and g.shape[0]==1: |
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return not None |
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else: |
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return None |
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|
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# |
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# ============================================================== |
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# |
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# test binary operators: |
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# |
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|
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msh=bruce.Rectangle(20,6) |
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for wh in [ContinuousFunction(msh),Function(msh)]: |
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|
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print wh |
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|
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#for ex1 in ["Array","Constant","Expanded","Tagged1","Tagged2"]: |
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for ex1 in ["Array","Constant","Expanded"]: |
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|
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#for ex2 in ["Array","Constant","Expanded","Tagged1","Tagged2"]: |
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for ex2 in ["Array","Constant","Expanded"]: |
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|
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if ex1=="Array" and ex2=="Array": |
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continue |
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|
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print "Binary ops: ", ex1, ",", ex2, ":" |
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|
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for a1 in arglist: |
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|
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arg1=prepareArg(a1,ex1,wh) |
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arrays1=turnToArray(a1,ex1) |
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if isScalar(arg1): |
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t1="(scalar)" |
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else: |
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t1="" |
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|
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for a2 in arglist: |
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|
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arg2=prepareArg(a2,ex2,wh) |
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arrays2=turnToArray(a2,ex2) |
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if isScalar(arg2): |
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t2="(scalar)" |
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else: |
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t2="" |
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|
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# the shape must match or at least one argument is sclar: |
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if (getRank(arg1)==getRank(arg2)) or isScalar(arg1) or isScalar(arg2): |
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|
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# sum |
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checkResult(ex1+t1+"+"+ex2+t2, \ |
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arg1+arg2, \ |
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arrays1[0]+arrays2[0], \ |
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arrays1[1]+arrays2[1], \ |
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arrays1[2]+arrays2[2], \ |
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wh) |
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|
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# sub |
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checkResult(ex1+t1+"-"+ex2+t2, \ |
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arg1-arg2, \ |
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arrays1[0]-arrays2[0], \ |
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arrays1[1]-arrays2[1], \ |
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arrays1[2]-arrays2[2], \ |
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wh) |
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|
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# mul |
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checkResult(ex1+t1+"*"+ex2+t2, \ |
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arg1*arg2, \ |
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arrays1[0]*arrays2[0], \ |
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arrays1[1]*arrays2[1], \ |
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arrays1[2]*arrays2[2], \ |
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wh) |
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|
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# div |
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checkResult(ex1+t1+"/"+ex2+t2, \ |
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arg1/arg2, \ |
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arrays1[0]/arrays2[0], \ |
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arrays1[1]/arrays2[1], \ |
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arrays1[2]/arrays2[2], \ |
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wh) |
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|
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# pow |
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if isinstance(arg1,Data): |
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a=arg1 |
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else: |
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a=Data(value=arg1,what=arg2.getFunctionSpace()) |
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checkResult(ex1+t1+"^"+ex2+t2, \ |
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a**arg2, \ |
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arrays1[0]**arrays2[0], \ |
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arrays1[1]**arrays2[1], \ |
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arrays1[2]**arrays2[2], \ |
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wh) |
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|
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# test inplace operations |
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|
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# arg2 must be class Data |
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if isinstance(arg2,Data): |
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|
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# if arg1 is expanded arg2 must be expanded |
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if not (not ex2=="Expanded" and ex1=="Expanded") : |
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|
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# if arg2 is scalar arg1 must be scalar: |
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if not (isScalar(arg2) and not isScalar(arg1)): |
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|
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# inplace add: |
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arrays2[0]+=arrays1[0] |
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arrays2[1]+=arrays1[1] |
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arrays2[2]+=arrays1[2] |
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arg2+=arg1 |
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checkResult(ex2+t2+"+="+ex1+t1, \ |
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arg2, \ |
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arrays2[0], \ |
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arrays2[1], \ |
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arrays2[2], \ |
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wh) |
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|
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# inplace sub: |
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arrays2[0]-=arrays1[0] |
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arrays2[1]-=arrays1[1] |
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arrays2[2]-=arrays1[2] |
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arg2-=arg1 |
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checkResult(ex2+t2+"-="+ex1+t1, \ |
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arg2, \ |
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arrays2[0], \ |
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arrays2[1], \ |
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arrays2[2], \ |
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wh) |
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|
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# inplace mul: |
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arrays2[0]*=arrays1[0] |
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arrays2[1]*=arrays1[1] |
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arrays2[2]*=arrays1[2] |
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arg2*=arg1 |
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checkResult(ex2+t2+"*="+ex1+t1, \ |
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arg2, \ |
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arrays2[0], \ |
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arrays2[1], \ |
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arrays2[2], \ |
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wh) |
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|
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# inplace div: |
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arrays2[0]/=arrays1[0] |
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arrays2[1]/=arrays1[1] |
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arrays2[2]/=arrays1[2] |
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arg2/=arg1 |
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checkResult(ex2+t2+"/="+ex1+t1, \ |
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arg2, \ |
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arrays2[0], \ |
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arrays2[1], \ |
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arrays2[2], \ |
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wh) |
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|
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sys.exit(0) |
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# end |
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